8m-(m-5)=m+17

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Solution for 8m-(m-5)=m+17 equation:


Simplifying
8m + -1(m + -5) = m + 17

Reorder the terms:
8m + -1(-5 + m) = m + 17
8m + (-5 * -1 + m * -1) = m + 17
8m + (5 + -1m) = m + 17

Reorder the terms:
5 + 8m + -1m = m + 17

Combine like terms: 8m + -1m = 7m
5 + 7m = m + 17

Reorder the terms:
5 + 7m = 17 + m

Solving
5 + 7m = 17 + m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-1m' to each side of the equation.
5 + 7m + -1m = 17 + m + -1m

Combine like terms: 7m + -1m = 6m
5 + 6m = 17 + m + -1m

Combine like terms: m + -1m = 0
5 + 6m = 17 + 0
5 + 6m = 17

Add '-5' to each side of the equation.
5 + -5 + 6m = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 6m = 17 + -5
6m = 17 + -5

Combine like terms: 17 + -5 = 12
6m = 12

Divide each side by '6'.
m = 2

Simplifying
m = 2

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